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                [Cerc2014] Outer space invaders                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><div>The aliens from outer space have (finally!) invaded Earth. Defend yourself, or be disintegrated!&nbsp;</div>
<div>Or assimilated. Or eaten. We are not yet sure.&nbsp;</div>
<div>The aliens follow a known attack pattern. There are 'n attackers, the i-th one appears at time&nbsp;</div>
<div>ai, at distance di from you. He must be destroyed no later than at time bi, or else he will fire his&nbsp;</div>
<div>weapon, which will definitely end the fight.&nbsp;</div>
<div>Your weapon is an area-blaster, which can be set to any given power. If fired with power R,&nbsp;</div>
<div>it momentarily destroys all aliens at distance R or smaller. It also consumes R fuel cells.&nbsp;</div>
<div>Determine the minimal cost (measured in fuel cells) of destroying all the aliens, without being&nbsp;</div>
<div>killed.&nbsp;</div>
<div></div>
<div>有N个外星人，第i个外星人会在ai时间出现，离你距离di，并且必须在bi之前被消灭。你有一把很NB的武器，攻击范围是个半径为R的圆，R可以任意调整，不过你以R的范围每攻击一次就要消耗R单位能量。外星人被攻击一次就会死掉。求需要消灭所有外星人的最小消耗能量。&nbsp;</div>
<div>N&lt;=300, ai,bi,di&lt;=10000&nbsp;</div>
<div></div>
<p></p></p><hr/><h3>输入格式</h3><p><div>The first line of input contains the number of test cases T. The descriptions of the test cases&nbsp;</div>
<div>follow:&nbsp;</div>
<div>Each test case starts with a line containing the number of aliens n (1《 n&le; 300). Of the next&nbsp;</div>
<div>n lines, the i-th one contains three integers ai, bi, di, (1 &lt; ai &lt; bi&le; 10 000; I &lt; di&le; 10 000).&nbsp;</div>
<div>The i-th alien appears at time ai, is idle until bi, and his distance from vou is di.&nbsp;</div>
<div></div>
<p></p></p><hr/><h3>输出格式</h3><p><div>For each test case, output one line containing the mimmum number of cells needed to destrov&nbsp;</div>
<div>all the aliens.</div>
<div></div>
<p></p></p><hr/><h3>样例输入</h3><pre>1
3
1 4 4
4 7 5
3 4 7</pre><hr/><h3>样例输出</h3><pre>7</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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